We develop a self-consistent theory of temporal fluctuations of a speckle
pattern resulting from the multiple scattering of a coherent wave in a weakly
nonlinear disordered medium. The speckle pattern is shown to become unstable if
the nonlinearity exceeds a threshold value. The instability is due to a
feedback provided by the multiple scattering and manifests itself in
spontaneous fluctuations of the scattered intensity. The development of
instability is independent of the sign of nonlinearity.Comment: 6 pages, 2 PostScript figures, accepted to Phys. Rev. Let
